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Finding the Fourth Proportional to 411,216.80, 616,825.20 and 245,328.80

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Solution

The fourth proportional to 411,216.80, 616,825.20 and 245,328.80 is: 367,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,216.80 : 616,825.20 = 245,328.80 : x
  2. Step 2: Convert to fraction form
    411,216.80/616,825.20 = 245,328.80/x
  3. Step 3: Cross multiply
    411,216.80x = 616,825.20 × 245,328.80
  4. Step 4: Simplify right side
    411,216.80x = 151,324,986,125.76
  5. Step 5: Solve for x
    x = 151,324,986,125.76/411,216.80
  6. Step 6: Final answer
    x = 367,993.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.